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If tan (theta) =5/4 and cos (theta) < 0 . Find the other trig. functions.
Could someone check my answers?
 one year ago
 one year ago
If tan (theta) =5/4 and cos (theta) < 0 . Find the other trig. functions. Could someone check my answers?
 one year ago
 one year ago

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moongazerBest ResponseYou've already chosen the best response.1
am I right that theta is in quadrant 3 ?
 one year ago

Silent_SorrowBest ResponseYou've already chosen the best response.0
Yup, so Sin (theta) < 0 as well
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
Could you show your answers so that I can check my answers?
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
No.. you should give your answers so that we can check.. Go ahead..
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
\[\sin \theta =(5\sqrt{41})/41\] \[\cos \theta = (4\sqrt{41})/41\] \[\tan \theta = 5/4\] \[\csc \theta = \sqrt{41}/5\] \[\sec \theta =\sqrt{41}/4\] \[\cot \theta = 4/5\]
 one year ago

Silent_SorrowBest ResponseYou've already chosen the best response.0
dw:1341743660142:dw Just remember "All Science Teachers Crazy" so in the first quad all trig functions are positive, in the 2nd all Sine functions are positive, in the 3rd all Tangent functions are positive so in the 4th all Cosine functions are positive.
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
Are all my answers correct?
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
Could someone check it?
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
@mathslover Are my answers correct?
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
when cos theta is negative then theta lies in 2nd quadrant ..
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
Remember this :Quadrant 1: Cosine is positive and Sine is positive. (x > 0 ; y > 0) just as ( cos(theta) > 0 ; sin(theta) > 0) Quadrant 2: Cosine is negative and Sine is positive. (x < 0; y > 0) just as ( cos(theta) < 0 ; sin(theta) > 0) Quadrant 3: Cosine is negative and Sine is negative. (x < 0 ; y < 0) just as ( cos(theta) < 0 ; sin(theta)< 0) Quadrant 4: Cosine is positive and Sine is negative. ( x > 0 ; y < 0 ) just as ( cos(theta) > 0 ; sin(theta) < 0)
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
So did u get that quadrant 2 : cos theta is negative ?
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
i'm still reading it :)
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
But in quadrant 3 cos theta is also negative so why I can't choose it as the location of theta?
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
isn't it that tan theta is positive in quadrant 3 and according to the given tan theta is positive. So choosing that theta is in quadrant 3 is better?
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
oh yes u r also right but i am not perfect in this topic may be @lalaly do it for u
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
@lalaly My answers are correct right?
 one year ago

lalalyBest ResponseYou've already chosen the best response.1
u can describe this as a right triangle \[\tan (\theta)=\frac{opposite}{adjacent}=\frac{5}{4}\]so from this u know that opposite=5 and adjacent =4 dw:1341746704835:dw
 one year ago

lalalyBest ResponseYou've already chosen the best response.1
now use those values to find the ratios for the other trig functions
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
But isn't it I can also view asdw:1341747710304:dw
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
Are my answers right or wrong?
 one year ago

ash2326Best ResponseYou've already chosen the best response.1
@moongazer you are correct :D
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
@ash2326 Thanks for that!
 one year ago

ash2326Best ResponseYou've already chosen the best response.1
you wanna see, the pic I made to check this?
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
ok, let me see it :)
 one year ago

moongazerBest ResponseYou've already chosen the best response.1
That is also what I am thinking :)
 one year ago
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